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# Cologarithm

[koh-law-guh-rith-uhm, -rith-uhm, -log-uh-]
In mathematics, the base-b cologarithm, sometimes shortened to colog, of a number is the base-b logarithm of the reciprocal of the number. It is equal to the negative base-b logarithm of the number.

$operatorname\left\{colog\right\}_b x = log_b left\left(frac\left\{1\right\}\left\{x\right\} right\right) = log_b 1-log_b x = -log_b x = log_\left\{1/b\right\} x.,$
In chemistry, a decimal cologarithm is indicated by the letter p. For example, pK = – log10 K and pH = – log10 {H+}

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